Breast implants with anatomical morphology have the problem of possibly rotating in their implantation position, which causes an aesthetic anomaly. With the implant of the invention, this problem is resolved, owing to the arrangement on the same, on the frontal face (2) and/or on the rear face (3) of the cover, of silicone strips (5-8) duly fixed to said enveloping and provided at their free end with respective orifices (7-9) for the passage of a suture point, such that these suture points allow the implant to be fixed to the corporal tissue of the user, such as for example to the breast tissue, to the pectoralis major muscle, to the fascia of the pectoralis major muscle, etc., the implant remaining immobilized. The implant also includes a mark (10) made of radiological material which allows the position to be checked by means of conventional radiology or other means.